if the linear function y=-2x+10 has a domain given by [1,4] then which of the followig is its range

Question

if the linear function y=-2x+10 has a domain given by [1,4] then which of the followig is its range

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Skylar 2 weeks 2021-11-20T18:54:39+00:00 1 Answer 0 views 0

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    2021-11-20T18:56:17+00:00

    Answer:

    [2,8]

    Step-by-step explanation:

    Well since it’s a linear function it’s ends will be the extrema, so plugging the domain restrictions that you are given:

    y=-2(1)+10

    y=-2+10

    y=8

    and

    y=-2(4)+10

    y=-8+10

    y=2

    so since 2 is lower than 8, its the lower range bound, and since both the 1 and the 4 are included in the domain it will be a closed interval:

    [2,8]

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